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Finding the Third Proportional to 383,374.50 and 593,003.25

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Solution

The third proportional to 383,374.50 and 593,003.25 is: 917,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,374.50 : 593,003.25 = 593,003.25 : x
  2. Step 2: Convert to fraction form
    383,374.50/593,003.25 = 593,003.25/x
  3. Step 3: Cross multiply
    383,374.50x = 593,003.25 × 593,003.25
  4. Step 4: Simplify right side
    383,374.50x = 351,652,854,510.56
  5. Step 5: Solve for x
    x = 351,652,854,510.56/383,374.50
  6. Step 6: Final answer
    x = 917,256.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.